By Bernard Kolman; Arnold Shapiro
A latest method of university algebra is supported through not obligatory snap shots calculator fabric
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Equality satisfies these basic properties reflexive property symmetric property transitive property substitution property D There is a onc-t�ne correspondence between the set of all real numbers and the set of all points on the real number line. That is, for every point on the line there is a real number and for every real number there is a point on the Jine. D Algebraic statements using inequality symbols have straightforward geometric interpretations using the real number line. For example, a < b says that a lies to the left of b on the real number line.
A b=a-b --c c c For example, 3_ _ 2_ _ 4_ _ s_ = 2 - 4 + s = _ + x- 1 x- 1 x- 1 x-1 x- l To add or subtract rational expressions with different denominators, we must first rewrite each rational expression as an equivalent one with the same denom- 34 THE FOUNDATIONS OF ALGEBRA inator as the others. Although any common denominator will do, we will con centrate on finding the least common denominator, or LCD, of two or more rational expressions. We now outline the procedure and provide an example.
5 (-2,x2)S 1 . 19. 16. x" 20. '+ 24. 3 (r4)2 27. r + 1)7 31 . 2° + r 1 35. 3-41 39. y I 43. (32)2 -� 2 47. Fl 5 1. (3a-2b-3)-2 b-2 55. 3a5 9a-4b2 59. (a - 2b2)- 1 63. a-a-11 -+ bb--11 2 .